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concatenation of permutations

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Jiri Pittner
2024-01-11 17:21:08 +01:00
parent 6ea863627d
commit 387491204c
2 changed files with 47 additions and 6 deletions
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10
permutation.h
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@@ -50,14 +50,17 @@ public:
explicit NRPerm(const CyclePerm<T> &rhs, const int n=0);
//specific operations
int size() const {return NRVec_from1<T>::size();};
void identity();
bool is_valid() const; //is it really a permutation
bool is_identity() const;
NRPerm inverse() const;
NRPerm reverse() const; //backward order
NRPerm operator*(const NRPerm q) const; //q is rhs and applied first, this applied second
NRPerm operator+(const NRPerm &rhs) const; //concatenate the permutations this,rhs, renumbering rhs (not commutative)
NRPerm operator-(const NRPerm &rhs) const; //concatenate the permutations rhs,this, renumbering rhs (not commutative)
NRPerm operator*(const NRPerm &q) const; //q is rhs and applied first, this applied second
NRPerm operator*(const CyclePerm<T> &r) const;
NRPerm conjugate_by(const NRPerm q) const; //q^-1 p q
NRPerm conjugate_by(const NRPerm &q) const; //q^-1 p q
int parity() const; //returns +/- 1
void randomize(void); //uniformly random by Fisher-Yates shuffle
bool next(); //generate next permutation in lex order
@@ -94,8 +97,9 @@ public:
T max() const {T m=0; for(int i=1; i<=this->size(); ++i) {T mm= (*this)[i].max(); if(mm>m) m=mm;} return m;}
CompressedPartition<T> cycles(const T n) const;
void readfrom(const std::string &line);
CyclePerm operator*(const CyclePerm q) const; //q is rhs and applied first, this applied second
CyclePerm operator*(const CyclePerm &q) const; //q is rhs and applied first, this applied second
NRPerm<T> operator*(const NRPerm<T> &r) const;
CyclePerm conjugate_by(const CyclePerm &q) const; //q^-1 p q
PERM_RANK_TYPE order() const; //lcm of cycle lengths
bool operator==(const CyclePerm &rhs) const {return NRPerm<T>(*this) == NRPerm<T>(rhs);}; //cycle representation is not unique, cannot inherit operator== from NRVec
void simplify(bool keep1=false); //remove cycles of size 0 or 1